(Solved): A fireboat is to fight fires at coastal areas by drawing seawater with a dens ...

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A fireboat is to fight fires at coastal areas by drawing seawater with a density of 1030 $$\mathrm{kg}/\mathrm{m}3$$ through a 10 -cm-diameter pipe at a rate of $$0.04\mathrm{m}3/\mathrm{s}$$ and discharging it through a hose nozzle with an exit diameter of $$5\mathrm{cm}$$. The total irreversible head loss of the system is $$3\mathrm{m}$$, and the position of the nozzle is $$3\mathrm{m}$$ above sea level. For a pump efficiency of 70 percent, determine the required shaft power input to the pump and the water discharge velocity. Answers: $$39.2\mathrm{kW},20.4\mathrm{m}/\mathrm{s}$$